We look at the division of 260622 by 65 
We want to figure out the number of times 260622 can be divided by 65.

Advancing to step 1:
When dividing 2 by 65, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 65

Advancing to step 2:
26 divided by 65 is 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 65

Step 3:
260 divided by 65 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 260 from 260 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 65

On to step 4:
If we divide 6 by 65, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 40.0
If we subtract 0 from 6, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 65

Let's proceed to step 5:
65 goes into 62 0 times with a remainder of 62.
Put 0 as the next digit of the answer. 
Result so far: 400.0
Subtracting 0 from 62 leaves us with 62.
Fetch the next digit (2) from the dividend, attach it to 62 and continue: 622 / 65

On to step 6:
When dividing 622 by 65, we get 9 with a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 4009.0
If we subtract 585 from 622, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
The number 65 fits into 370 5 times, leaving a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 4009.5
The remainder is 45 after subtracting 325 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 8:
If we divide 450 by 65, we get 6 and a remainder of 60.
The next digit of our result is 6. 
Result so far: 4009.56
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
65 goes into 600 9 times with a remainder of 15.
The next digit of our result is 9. 
Result so far: 4009.569
Deduct 585 from 600 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 4009.5692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
65 goes into 200 3 times with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4009.56923
The remainder is 5 after subtracting 195 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
50 divided by 65 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 4009.56923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 4009.5692307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 14:
450 divided by 65 is 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 4009.56923076
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 4009.56923076 with a remaining 6e-08.